Question 115
Let $m$ be a real number and $f(x) = (m-2)x^{2} - 2mx + 3m$.
a) Calculate the value of the parameter $m$ so that the graph of the function $f$ passes through the point $T(-2,3)$. For the value of $m$ calculated in this way, write down the formula of the function $f$.
b) Calculate for which value of the parameter $m$ the graph of the function $f$ is not a parabola. What is the graph of the function $f$ in this case? For the value of $m$ calculated in this way, write down the formulas of the function $f$ and of its inverse function $f^{-1}$.
a) Calculate the value of the parameter $m$ so that the graph of the function $f$ passes through the point $T(-2,3)$. For the value of $m$ calculated in this way, write down the formula of the function $f$.
b) Calculate for which value of the parameter $m$ the graph of the function $f$ is not a parabola. What is the graph of the function $f$ in this case? For the value of $m$ calculated in this way, write down the formulas of the function $f$ and of its inverse function $f^{-1}$.